Constructions of factorization systems in categories

From MaRDI portal
Publication:1239361

DOI10.1016/0022-4049(77)90067-6zbMath0361.18001OpenAlexW2056183987MaRDI QIDQ1239361

A. K. Bousfield

Publication date: 1977

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(77)90067-6




Related Items (72)

Factorisation systems for logical relations and monadic lifting in type-and-effect system semanticsHow to glue derived categoriesPrereflections and reflectionsFactorizations, denseness, separation, and relatively compact objectsEnhancing the filtered derived categoryOn the cohomology of highly connected covers of finite Hopf spacesLocalization with respect to a class of maps. I: Equivariant localization of diagrams of spacesOn left-cancellable classes of morphismsA suspension spectral sequence for \(v_ n\)-periodic homotopy groupsOn lax epimorphisms and the associated factorizationCellular covers of groupsExtending localization functorsSemi-intial and semi-finalV-functors1What do Abelian categories form?On the geometry of homotopy invariants of linksFACTORIZATION OF FLOWS AND COMPLETENESS OF CATEGORIESHigher homotopies of natural constructionsOn the Rationalization of the CircleOn cellularization for simplicial presheaves and motivic homotopyDerived, coderived, and contraderived categories of locally presentable abelian categoriesAlgebraic weak factorisation systems. I: Accessible AWFS.Admissibility of localizations of crossed modulesClass-locally presentable and class-accessible categoriesCONDITIONAL FLATNESS, FIBERWISE LOCALIZATIONS, AND ADMISSIBLE REFLECTIONSWeak reflections and weak factorization systemsThe minimal extension of P-localization on groupsExtended hyperbolicityUnderstanding the small object argumentExtended hyperbolicityUnderstanding the small object argumentBousfield localisation and colocalisation of one-dimensional model structuresAdjunction in 2-categoriesReflective subcategoriesLocalisation homotopique et tour de Taylor pour une catégorie abélienneThe identity type weak factorisation systemIdempotent functors and localizations in categories of modules and Abelian groups.Cellular covers of local groupsA connection between cellularization for groups and spaces via two-complexesOn the Functor ℓ2Factorization systems as Eilenberg-Moore algebras\(\mathbb{A}^1\)-homotopy theory of schemesHomotopical localizations of module spectraWeak factorizations, fractions and homotopiesThe Frobenius condition, right properness, and uniform fibrationsDefinable orthogonality classes in accessible categories are smallFactorizations, injectivity and compactness in categories of modulesHomomorphisms of higher categoriesHomotopy theoretic models of identity typesUnnamed ItemLocalization and Periodicity in Unstable Homotopy TheoryBrody hyperbolicity and homotopyTotal reflections, partial products, and hereditary factorizationsA unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so onConditionally flat functors on spaces and groupsHomotopy theory of small diagrams over large categoriesTriangulated factorization systems and \(t\)-structuresTwo-dimensional models of type theoryA homotopy-theoretic universal property of Leinster's operad for weak ω-categoriesCardinality and nilpotency of localizations of groups and \(G\)-modulesPostnikov pieces and 𝐵ℤ/𝕡-homotopy theoryImplications of large-cardinal principles in homotopical localizationOn notions of factorization systems and their applications to cone- injective subcategoriesHomotopy localization of groupoidsFlat covers and factorizationsType Theory and HomotopyLax factorization algebrasOn some orthogonal factorization systemsAn overview of rationalization theories of non-simply connected spaces and non-nilpotent groupsFinite simple groups and localizationCyclotomic complexesHomotopical localizations at a spaceSurjectivity need not be preserved by group localizations



Cites Work


This page was built for publication: Constructions of factorization systems in categories